122622776640 has 2016 divisors, whose sum is σ = 571741986816. Its totient is φ = 24455208960.

The previous prime is 122622776581. The next prime is 122622776641. The reversal of 122622776640 is 46677226221.

It is a happy number.

122622776640 is a `hidden beast` number, since 12 + 2 + 622 + 7 + 7 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122622776641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2851692459 + ... + 2851692501.

It is an arithmetic number, because the mean of its divisors is an integer number (283602176).

Almost surely, 2^122622776640 is an apocalyptic number.

122622776640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122622776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285870993408).

122622776640 is an abundant number, since it is smaller than the sum of its proper divisors (449119210176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122622776640 is a wasteful number, since it uses less digits than its factorization.

122622776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 122622776640 in words is "one hundred twenty-two billion, six hundred twenty-two million, seven hundred seventy-six thousand, six hundred forty".